Question:
Ms. Jhulan Goswami scores 102 runs in the 18th innings of her career and thus increases her average by 5. After the 18th inning, her average is:
Ms. Jhulan Goswami scores 102 runs in the 18th innings of her career and thus increases her average by 5. After the 18th inning, her average is:
Show Hint
Use the average formula:
\[
\text{New Average} = \frac{\text{Old Total + New Score}}{\text{New Count}}
\]
Set up an equation and solve for the original average.
Updated On: Aug 11, 2025
- 17
- 21
- 26
- 28
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The Correct Option is C
Solution and Explanation
Step 1: Let average after 17 innings = \(x\)
Then total runs in 17 innings = \(17x\)
She scores 102 in 18th inning, so: \[ \text{New total} = 17x + 102
\text{New average} = x + 5 = \frac{17x + 102}{18} \] Step 2: Form the equation and solve \[ \frac{17x + 102}{18} = x + 5
\Rightarrow 17x + 102 = 18x + 90
\Rightarrow 102 - 90 = 18x - 17x
\Rightarrow x = 12 \] Step 3: Final answer \[ \text{New average} = x + 5 = 12 + 5 = \boxed{17} \] Wait! But 17 is option (a), not (c)! So correct option is (a) 17 % Correction Correct Answer: (a) 17
Then total runs in 17 innings = \(17x\)
She scores 102 in 18th inning, so: \[ \text{New total} = 17x + 102
\text{New average} = x + 5 = \frac{17x + 102}{18} \] Step 2: Form the equation and solve \[ \frac{17x + 102}{18} = x + 5
\Rightarrow 17x + 102 = 18x + 90
\Rightarrow 102 - 90 = 18x - 17x
\Rightarrow x = 12 \] Step 3: Final answer \[ \text{New average} = x + 5 = 12 + 5 = \boxed{17} \] Wait! But 17 is option (a), not (c)! So correct option is (a) 17 % Correction Correct Answer: (a) 17
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